{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Objective of this notebook: figure out how to normalize the features so that they don't explode the gradients on neural networks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import os"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "all_features = [\n",
    "    np.load(os.path.join('../data/interim/X', basename))\n",
    "    for basename in os.listdir('../data/interim/X')\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "concatenated = np.concatenate(all_features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "feature_groups = {\n",
    "    \"mean\": concatenated[:, 0:18].ravel(),\n",
    "    \"variance\": concatenated[:, 18:36].ravel(),\n",
    "    \"skewness\": concatenated[:, 36:54].ravel(),\n",
    "    \"kurtosis\": concatenated[:, 54:72].ravel(),\n",
    "    \"stdev\": concatenated[:, 72:90].ravel(),\n",
    "    \"zerocross\": concatenated[:, 90:108].ravel(),\n",
    "    \"peak2peak\": concatenated[:, 108:126].ravel(),\n",
    "    \"totalarea\": concatenated[:, 126:144].ravel(),\n",
    "    \"sigenergy\": concatenated[:, 144:162].ravel(),\n",
    "    \"energypct\": concatenated[:, 162:270].ravel(),\n",
    "    \"avgdwtcoef\": concatenated[:, 270:396].ravel(),\n",
    "    \"crosscorr\": concatenated[:, 396:549].ravel(),\n",
    "    \"decorrcoef\": concatenated[:, 549:567].ravel(),\n",
    "    \"clustcoef\": concatenated[:, 567:585].ravel(),\n",
    "    \"localeff\": concatenated[:, 585:603].ravel(),\n",
    "    \"between\": concatenated[:, 603:621].ravel(),\n",
    "    \"eccentricity\": concatenated[:, 621:639].ravel(),\n",
    "    \"globaleff\": concatenated[:, 639],\n",
    "    \"globaldiam\": concatenated[:, 640],\n",
    "    \"globalrad\": concatenated[:, 641],\n",
    "    \"globalcharpath\": concatenated[:, 642]\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SW7vl25Os6Vt2VTe+K8kvzV/rM3vkiacZ3/ck55654pmxz2//Hq85/WU8dfAQl900yo1fvd9r/JKaM+und5IMAdcD7wDGgR1JtlbVt/vKLgP2VdW6JFuAa4H3JNkAbAHOBc4E/izJa6rq0HxvyEOP7eef/v4OVr/8RJ46MAnA685c+ayaVS9bxlvXj/Dnfz3Brh/+hPPOPoVDk5OcvmI5Z6xYzitWLOeUk05gsooDB4tlJyxh2fASklBVHDhUnDAUksx3+5Jewg5NFlXF8FDvPHpysnjiwCGWBE48YQiAJ54+xCNPHuDEE4ZYeeIJHJycZHzfk/zo0f2cvmI5Z596IsuGh457r4N8ZPN8YKyqdgMkuQXYDPSH/mbg4930bcBn00vGzcAtVfUUcH+Sse75vjY/7R/x8ONPc9LSIf702z8C4BUrlnHazyx7Tt0vnnsG565eydfu+zFf/94+djyw93mfd2hJGFoSnj44+czYsuElDC95dvAXUAVF9X72T3c1ARJIcmSadD+f30zfNJjuKwg1Y/Xxl1m3ZMDn8fdqMwY9hmf6us1sR3v/oXT4uDp8nPYfZ1UwWfXM393JgqpeJ72/r2FJ/9/Zbvrg5CQHDvW6GFoSThgK+w9MPus1h5fkmZr+1+3fpgT+wRvO4j/8o/Nm2aJjM0jorwYe7JsfB940U01VHUzyKLCqG/+rKeuunvoCSS4HLu9mH0+ya6DuZ3bad+Hh9330GJ9lcTgNeHihm3iRcF8c4b444kWzLz4FfOo9R736qwcpGiT0pzvnmvrLdaaaQdalqm4Abhigl4EkGa2qjfP1fC9l7osj3BdHuC+OaG1fDPJG7jhwdt/8WcCemWqSDAMrgb0DritJeoEMEvo7gPVJ1iZZSu+N2a1TarYCl3bTFwN3VlV141u6T/esBdYD/3d+WpckzdWsl3e6a/RXAHcAQ8DnqmpnkmuA0araCtwI3Ny9UbuX3i8Gurov0nvT9yDwwePxyZ1pzNulokXAfXGE++II98URTe2LlHeglKRmLNpv5EqSnsvQl6SGLKrQn+12EYtNkrOTfCXJPUl2JvlQN35qkj9Ncm/38+XdeJL8x27/fCPJGxd2C+ZfkqEkX09yeze/trs1yL3drUKWduMz3jpkMUhySpLbknynOz7e3OpxkeTXur8f30ryhSTLWz0uYBGFft/tIi4CNgCXdLeBWMwOAh+pqr8JXAB8sNvmK4EvV9V64MvdPPT2zfrucTnwOy98y8fdh4B7+uavBa7r9sU+ercMgb5bhwDXdXWLyWeA/1VVrwXOo7dPmjsukqwG/iWwsapeR+/DKIdvFdPicdF9zXgRPIA3A3f0zV8FXLXQfb3A++B/0LtH0i7gld3YK4Fd3fTvAZf01T9Ttxge9L4H8mXgF4Db6X058GFgeOoxQu/TaG/upoe7uiz0NszTflgB3D91e1o8Ljhyt4BTuz/n24FfavG4OPxYNGf6TH+7iOfc8mGx6v4Z+gZgO/CKqvoBQPfz9K5sse+jTwP/Gjh845NVwCNVdbCb79/eZ906BDh865DF4BxgAvj97lLXf05yMg0eF1X1feC3ge8BP6D353wXbR4XwCK6vMOAt3xYjJK8DPgS8K+q6rHnK51mbFHsoyTvBB6qqrv6h6cprQGWvdQNA28Efqeq3gD8lCOXcqazaPdF977FZmAtvTv9nkzvctZULRwXwOIK/SZv+ZDkBHqB/9+q6g+74R8leWW3/JXAQ934Yt5Hfwf4lSQPALfQu8TzaeCU7tYg8OztnenWIYvBODBeVdu7+dvo/RJo8bh4O3B/VU1U1QHgD4G/TZvHBbC4Qn+Q20UsKt3tq28E7qmqT/Ut6r8txqX0rvUfHn9/92mNC4BHD/9z/6Wuqq6qqrOqag29P/s7q+p9wFfo3RoEnrsvprt1yEteVf0QeDDJz3ZDF9L7VnxzxwW9yzoXJDmp+/tyeF80d1w8Y6HfVJjPB/DLwF8D9wEfXeh+XoDt/Xl6//T8BnB39/hletcgvwzc2/08tasPvU843Qd8k94nGhZ8O47DfnkbcHs3fQ69+z2NAX8ALOvGl3fzY93ycxa673neB68HRrtj44+Al7d6XACfAL4DfAu4GVjW6nFRVd6GQZJaspgu70iSZmHoS1JDDH1JaoihL0kNMfQlqSGGviQ1xNCXpIb8f+lKhe5xsfbfAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dAT42wnNvBW4dZvlLwPJsii20yPFB5Ymdz/dH55/EnU/u4K71u/niexblojQRkQnTmcpZiB4/7HT8LQSAedOqueSUFn627k3iyVQuShMRmTAFQhaOtxAmMIaQdv3KeRzsifLQ5v0Tfi0RkVxQIGTh+Ilp4zgPYaiLF7cwt6mKnz795oRfS0QkFxQIWYjGc9dCCASMT7xrDut3HmVvl66mJiKFp0DIQiQHh50O9oEzZgHwwMZ9OXk9EZGJUCBkYaInpg01b1o1p8+u49cKBBEpAhkddiqeaCJF0IyATSwQ1qzbdfx2a0MlD285wO2Pt3PjpQsnWqKIyLiphZCFSDyZs9ZB2hmt9QBs2tud09cVEcmWAiELkXhqXFNfj6a5Jszs+go2dmhuIxEpLAVCFqKJ5LgujjOWpa317O4cYI+ONhKRAlIgZCEaT0142orhLPW7jR7apJPURKRwFAhZyMcYAsC0mjAz6yp4UGcti0gBKRCyEE2kcnYOwlBLZtexYedRDvdG8/L6IiJjUSBkIV8tBIDTZ9eRcvDIlgN5eX0RkbEoELIQSSTzMoYAMLOugjlNleo2EpGCUSBkIRpP5a2FYGZcefpMnm4/QncknpdtiIiMRoGQhUgimbcxBIArl84klkzx+KsH87YNEZGRKBCyEImncjL19UjOntNIS21Y10gQkYJQIGQhGs9vCyEQMN63ZAZPbDt0fCI9EZHJokDIQiSRysuZyoNduXQm/bEkv3v9cF63IyIylAIhQ6mUI5bI/VxGQ52/oJm6ihAP6qxlEZlkCoQMxZL+xXHyOIYA3sV33nPaDB599QBxf5siIpNBgZChty6Ok/+P7IqlM+nqj7N+x9G8b0tEJE0XyMlQJO59W8/XeQjw1oVzYv5YxfcefZ03j/Rz3Xlz87ZNEZE0tRAyFE14LYR8HmWUVh4KsHhGLVv3dZNyLu/bExEBBULG0i2EyQgEgNNn19MdSbDrSP+kbE9ERIGQoeNjCHkeVE47bVYtZUHjZV1JTUQmiQIhQ9HE5LYQwqEgp86sY9OeYyR0tJGITAIFQobSLYR8n5g22Jlt9fTFkjz1xpFJ26aInLgUCBl6q8to8j6yxTNqCYcC/OrlvZO2TRE5cSkQMpTuMsrnYadDlQUDnD67noc27dfcRiKSdwqEDL3VZTS5H9lZbfX0RBM8se3QpG5XRE48CoQMRQrQQgBY0FLDtJow9z3fManbFZETjwIhQ9F0C2ESxxAAggHjo+e28vi2gxzsjkzqtkXkxKJAyNBbh51ObgsB4OPL55BMOX7+wp5J37aInDgUCBmKxJOYed/YJ9vJLTW8a14j/7ZhN05TWYhInmQUCGZ2pZltM7N2M7t5mMfDZnaP//g6M5s36LFb/OXbzOyKIc8LmtmLZnb/RN9IvkUTKcKhAGaTHwjgtRK2H+7juZ2dBdm+iEx9YwaCmQWB7wNXAUuAa81syZDVPgV0OucWArcB3/KfuwRYDZwOXAnc7r9e2heBrRN9E5MhEk9SURYce8U8+cCZs6gJh7jnud0Fq0FEprZMWggrgHbn3HbnXAy4G1g1ZJ1VwE/82/cBl5v3VXoVcLdzLuqc2wG0+6+HmbUBHwDumPjbyL9IPEk4VLgetqryEB86aza/3riXrv5YweoQkakrkz1cKzD4a2mHv2zYdZxzCeAY0DzGc78DfBUYdaIeM7vBzDaY2YZDhwp3LH40kSpYC2HNul2sWbeLaTXlROIpbv75xuPXThARyZVMAmG4TvOhI5sjrTPscjP7IHDQOff8WBt3zv3IObfcObe8paVl7GrzJBJPUhEqXJcRwKz6SuZPq+bZ7UdIpjS4LCK5lUkgdABzBt1vA4ZOrnN8HTMLAfXA0VGeewFwtZntxOuCuszM/nUc9U+aSDxFuKzwB2WtXNBM10CcV/d3F7oUEZliMtnDPQcsMrP5ZlaON0i8dsg6a4Hr/dvXAI857/jItcBq/yik+cAiYL1z7hbnXJtzbp7/eo855/4wB+8nb6KJwrcQAE6bVUdDZRlPawZUEcmxMQPBHxO4CXgI74ige51zm83sm2Z2tb/anUCzmbUDXwZu9p+7GbgX2AI8CHzOOVeSs7QVSwshGDDOX9DMjsN9bN2nVoKI5E4ok5Wccw8ADwxZ9rVBtyPAx0Z47q3AraO89hPAE5nUUUiReJJpNeFClwHA8nmNPPbqQX70n9u57RPLCl2OiEwRhf/KWyJiiRQVRdBCAO8Q1BXzm1j78l52H9U1l0UkN4pjD1cCCn1i2lAXLJxGwOCO320vdCkiMkUoEDIU8aeuKBb1lWX8/rJW7tmwmyO90UKXIyJTQPHs4YpctMhaCACfuXgB0USKHz+1s9CliMgUoEDIUKSIxhDSFk6v5f1nzOLOJ3dwQNdKEJEJKq49XJGKJ1MkU45wEZyHMNRXrziFRCrF3z/8WqFLEZESp0DIQPriOMXWQgA4qbma61fO497nd+u8BBGZkOLbwxWhiH/5zGIbQ0hPejezvoKKUJDP3/UiP3v2zUKXJSIlSoGQgXQgFNNRRoNVlYe47NTptB/sZfNetRJEZHyKcw9XZN7qMiquFsJg5y9oZlZ9Bfe/speeSLzQ5YhICVIgZGAglm4hFG8gBAPG7y9rpSeS4O80wCwi46BAyEBfNAFATTijqZ8KZk5TFectaOInz+zk5d1dhS5HREpMce/hikRfzAuE6nDxthDS3rdkJpv3dvPZf32ez16ykGDgrWsUXXfe3AJWJiLFTi2EDPRGvS6jYm8hgDfO8cEzZ7P3WIRntuuaCSKSOQVCBtJdRtUlEAgAS2fXccqMWh7ZcoCu/lihyxGREqFAyECpBYKZcfVZs3E41r68F+/idSIio1MgZKA3HQjlxT+GkNZYXc57TpvBq/t7eKXjWKHLEZESoEDIQF80QUVZgFCwtD6uCxZOY05jJWtf1rkJIjK20trDFUhvNFkSA8pDBcz46DltxJMpdR2JyJgUCBnoiyZKZvxgqOl1FVx+2gw27+3m1xv3FbocESliCoQM9EUTVJeXZiAAXLhwGm2NlXztl5t1dTURGZECIQO90URJdhmlBQPGR85pozeS4OtrNxe6HBEpUgqEDPTFEiVxlvJoZtZV8IXLF3L/K/t4cJO6jkTknRQIGeiLJkt2DGGwz1x8Mktb6/jzf99EZ59OWBORt1MgZKDUu4zSyoIB/vaaszg2EOcbv1LXkYi8Xenv5SZBKR9lNNiadbsAuGhxC798aS+14TL+6sNLC1yViBQLtRDGkEo5+mNTo8so7ZLF05lVX8EvX9rDUXUdiYhPgTCG9NTXNSU+qDxYMGBcc24b/fEkt/ziFZ2wJiKAAmFMff7U11OphQAwq76S9y2ZwUObD/BvGzoKXY6IFAEFwhh6S+RqaeNxwcJprFzQzDd+tZkdh/sKXY6IFJgCYQzHp74u4TOVRxIw4+8+fhZlwQA3/uwFIvFkoUsSkQJSIIyh1K6FkK3ZDZV85xPL2Lqvm6/9clOhyxGRAlIgjGEqdxmlXXrqdD5/2ULu3dDBPc/tKnQ5IlIgU3cvlyPpo4xKfeqKkaTPTZhRV8HClhr+7P9sYtfRAf6/K04pcGUiMtnUQhhDr3+U0VRuIYA3nvDxd82hOhxizbo3OdavC+qInGgyCgQzu9LMtplZu5ndPMzjYTO7x398nZnNG/TYLf7ybWZ2hb9sjpk9bmZbzWyzmX0xV28o16b6GMJgNeEQ166YS/dAgi/f+xKplM5PEDmRjBkIZhYEvg9cBSwBrjWzJUNW+xTQ6ZxbCNwGfMt/7hJgNXA6cCVwu/96CeArzrnTgPOBzw3zmkWhL5rADKpK6HrKEzG3qYr3nzGTR189yPcee73Q5YjIJMqkhbACaHfObXfOxYC7gVVD1lkF/MS/fR9wuZmZv/xu51zUObcDaAdWOOf2OedeAHDO9QBbgdaJv53c6/UvjuO9nRPD+Qua+eg5bXznkdc1VbbICSSTQGgFdg+638E7d97H13HOJYBjQHMmz/W7l84G1g23cTO7wcw2mNmGQ4cOZVBubnkT250YrYM0M+PWDy9l2ZwGvnzvy2zd113okkRkEmQSCMN9NR7auTzSOqM+18xqgJ8DX3LODbvXcc79yDm33Dm3vKWlJYNyc2uqXAshWxVlQf7xj86ltiLEJ3+8nl1H+gtdkojkWSaB0AHMGXS/Ddg70jpmFgLqgaOjPdfMyvDC4GfOuV+Mp/jJMFWuhZCtNet28ejWg3ziXd4g86rvP8kPnnij0GWJSB5lEgjPAYvMbL6ZleMNEq8dss5a4Hr/9jXAY86bQnMtsNo/Cmk+sAhY748v3Alsdc79fS7eSL70+WMIJ6qZdRX81wvm0R9LcueT2+noVEtBZKoaMxD8MYGbgIfwBn/vdc5tNrNvmtnV/mp3As1m1g58GbjZf+5m4F5gC/Ag8DnnXBK4APgj4DIze8n/eX+O31tO9E6Ri+NMRFtjFZ/8vXn0RhN8+Pan2dhxrNAliUgeZLSnc849ADwwZNnXBt2OAB8b4bm3ArcOWfYkw48vFJ2+WGJKXQthvE5qruYzF53MT57ZyUd+8BQfO3cOS1vrjz9+3XlzC1eciOSEzlQew4k6qDycGXUVfPbik5lRV8Ga9bt4YOM+kjp5TWTKUCCM4UQdVB5JbUUZN7x7AecvaOLJ9sPc8eR2ugc0zYXIVKBAGEU8mSKWSKmFMEQoGODqs1r5+PI57O0a4B8eb+fpNw4XuiwRmSAFwihOpHmMxmPZnAZuvGQhVWVB/vCOdXz3kdfVhSRSwhQIo3jrWggaVB7JjLoKbrz0ZFYta+W2R17jun96ln3HBgpdloiMg776jmDNul3s744A8OKuLpKpAhdUxMKhILd9YhkXLpzGX/xyE+//7u/422vO4j1LZhS6NBHJgloIo4j51xgOh9RCGMuadbuIJlJ85qKTqSgL8umfbuC6f3qWaELXaRYpFQqEUUQTXrMgHNLHlKmW2jCfvfhkVp7czNNvHOEjtz/N9kO9hS5LRDKgPd0ojgdCmT6mbISCAT505mz+6PyT2NM1wAf/4Un+5dk3dcEdkSKnPd0o3mohqMtoPE6bVcd/fPHdnDO3kb/4901c88On2ba/p9BlicgIFAijSPd/l6vLaNwef/UQVy2dycfObePV/T1c9d3/5Pp/Xk8krrEFkWKjPd0oYhpDyAkz4+y5jfzxexazbE4Dv33tEFd85z95ql0ns4kUE+3pRhFNpAgYhAIlMQ9f0asOh7jm3Dn8PxfMx4A/uGMdX77nJY70RgtdmoigQBhVJJ4kHAqeUNdTngwLp9fw4Jcu4qZLF7L25b1c9ne/5afP7CShkz1ECkqBMIqu/jgNVWWFLmNK+sULe5jdUMnnLl1Ic005X/vlZj70v5/iuZ1HC12ayAlLgTCKo/0xGqvKC13GlDajroJPXTCfa1fM5Vh/jI/98Bm+dPeL7D8WKXRpIiccBcIInHN09cdoVAsh78yMM1rreeQrF3PTpQt5YON+Lv32E3zv0dcZiOloJJHJokAYQW80QTzpaKxWC2Gy/PuLe5ndUMkXLl/EgpZq/v43r3H+3zzKL1/ag3eJbhHJJwXCCDr7YgA0KRAmXVN1OX9w3kl8+t3zqS4P8sW7X+LDtz/NC7s6C12ayJSm2U5HcLTfuwqYxhAKZ8G0Gm68dCEv7uri4c37+cjtT3NmWz1Xnj6ThqpyXcdZJMcUCCPo7PdaCAqEwgqYce5JjSxtreO3rx3iydcPs2VvN+9e1MKqZbN18SKRHFKX0Qg6+2LUhEOatqJIhENB3rdkJn/83sUsmV3H49sOcsm3n+CO323XwLNIjmhvN4KjOsKoKDVWlbP6XXP57xctYGFLDX/16628+389zk+e3nl8qhERGR8Fwgg6+2I6wqiIzW2u5kNnzea/vXsBtRUhvr52Myv/5lH+9BcbdUSSyDgpEIaRSKY4NhCnSeMHRW/+tGo+feF8/svKkwgGjDXrd/GRHzytM55FxkEjcsPYdyxCyqEWQokwM06dWcei6bW8uKuTJ9sP87EfPsOFC6dx46Uns3JBs+ajEsmAAmEYuzv7AR1hVGqCAWP5vCbObGvg2e1HeKr9MNf90zrTRWxTAAANUUlEQVSm14ZZNqeBP//AEuY2VxW6TJGipUAYRsfRAUAnpZWq8lCAixa3sPLkZl7c1cWLuzp5eMsBHt5ygLPnNnD1WbP5wJmzmF5bUehSRYqKAmEYu472Y0B9pY4yKmVlwQAr5jexYn4Tnf0xNnYc4+WOLv7yV1v45q+2cHJLDWe21fP1q0/X71oEBcKwdnf2U19VRlAXxpkyGqvKuWhxCxctbuFgd4SX/XD4xYt7uP+VfVx8SgvvPW0Gl5zaopaDnLAUCMPYfbRf4wdT2PS6Ct67pIL3nDadPV0DvLy7i/U7jvKbLQcAaG2o5KPntnHZqdM5s7WeQJF8MTjSG+Wu9bt4YON+6ipDtDVWcekp03n/GTM1aC45YaV0zPby5cvdhg0b8r6dd936CHMbq/jouW1535YUB+cc+7sjbNvfw6v7e+jo7CflYFpNORcvns75C5pYPq+Jec1Vk77z/fZD23j6jSO80tFFIuU4qbkK56A/luBwb4zfO7mZb646nYXTaye1LikNZva8c255JuuqhTDEhp1HOdQTZeWC5kKXIpPIzJhVX8ms+kouOWU6/dEErx30wuGBjfv4+QsdgBcQ58xtZPm8Rs49qYmlrXWEQ8G81PTczqN8+6FtrNtxlPJggHNPamTlgmam13ldWinnWL/jKA9v2c8Vt/2OCxdN49JTpvPJC+blpR6Z+hQIQ9z+xBs0VXv/6eXEVRUOsWxOI8vmNJJyjkM9Ud480k8gAM+/6R21BN4RTafMqGXxjFoWz6hh8Uzv9uz6inG1JBLJFM9sP8L//9ROHn31INNrw1y1dCbLT2qisvztwRMw4/wFzSxtrefBTfv47WuHeGl3F8GgsWrZbOoqNFAu2VGX0SCb9x7jA997kv/3fYtpqg7nbTtS+noicd480s+uo/3s747QE4lzoDt6/PGacIhFM2qY21TFtJqw/1POtNowlWVBQgEjkXL0RBJ09cfY3TnAE9sO8sbBXvpiSSrKAly8qIWVJ0/LeILFnYf7+PXGfezpGqCyLMjlp01n5cnNrJjXxNzmqry1ZPLBOUfUn5sqFDBCwak1qcKadbvojyXYtr+HA90RDvfGmNtUxQ/+8Jycd0lm02WkQBjkpjUv8MS2Qzx182X8+pV9eduOTE0DsSQHuiMc6IlwoDvKge4Ixwbi9ETixJOj/z8zoKGqjLbGKs5qq2fRjFrKxrETdM6xp2uA53Z28uq+bnqiieOv31IbprWxktaGSlobK2nz/21tqKK1sZKaHE8lHk0k2dsVoaOzn47OAQ73ROmOxOmLJaksC1JdHqQqHKK6PEggYBwbiHOkN8ar+7vZ2HGM7ohXe8Bg0fRazmir58y2es5sa+DUmbVUlJVOwAHEkyleO9DDxo5j/PSZN9m2v4ekcwQDRl1FiM7+ONeumMtf/f7SnB7hmPMxBDO7EvguEATucM79zyGPh4GfAucCR4BPOOd2+o/dAnwKSAJfcM49lMlrTran2g/zwMZ9fObik3VMuoxLZXmQedOqmTet+h2PRRNJeiMJeqMJEilHyjkMo7IsSEVZgPqqMkKBiX8LNjPaGqtoa6zCLZvNkb4Yu47209kXo6s/TudAjDeP9HOsP05yyJfB+soyWhsqmd1QSdug4GhtqKSlNowZOAfpZw3EEhzsiXIo/dMbZZ8fAHu6Bt7WYkorCxrlwQCJlCOWSDE0JsuCxvTaCk6dWUeDP9twLJFi37EI/7FxH/c933F83ZpwiKbqcpqqy2muLqe+qoy6ijJqwiFqK0LUVISorSij1r9fW1FGdThIeShAWSBAMGjevwHD4Uh/HN57dKScF7DOX4a/HCAQMIJmBANGwIyUc/RFE/RFk/RGE/TFEhzpjbKnK8KbR/rYuOcYW/Z2H2/11IRDnL+giWVzGpnVUIEBv9l6gLvW76KrP8bffOQMGgpwpOOYLQQzCwKvAe8FOoDngGudc1sGrXMjcKZz7r+b2Wrgw865T5jZEuAuYAUwG3gEWOw/bdTXHM5EWwjOORIpRzyZYiCWZE/XADsO93H3+t08s/0IM+sq+NXnL6SlNsyadbvGvR2RYpdyjl6/u6pzIE5Xf5yufi80ugZix3ds2QiaUV9VRkNVGY2V5TRUl9FYVe7/lFFb8fZze5xzxJOOWDJFMuWoKg+O2ipyznFsIE5H5wAHe6L0xxLeTjiWpC+aYCCeJBJPEo2/M2gKqTwUYHa9H7J+y6ypunzYrqH+WIK/fmArdZVlfOnyRVy5dBaN1WUT6u7LdQthBdDunNvuv/jdwCpg8M57FfAN//Z9wP82792uAu52zkWBHWbW7r8eGbxmzpz7P35DTzRBPJliuPyrDYf4wBmzeNe8puPHootMZQEz6irLqKssY7gLkTrniMRTdPoh0ZcOB/O6n8A7E7ymIuR/Ay+joiyQVf+3mVEesozHSMyMhqryMb85O+eFTCSeIhpPEkm8/d90Cy2VciQdfmvt+NsDM8z75x3Ljm8DSKUczjlS/jrhUIDyUJBwKEA4FKAqHKKxsozK8mDGn8un372ACxdN43/cv4Vv/Mr7Ae/cmKduviyj15iITAKhFdg96H4HcN5I6zjnEmZ2DGj2lz875Lmt/u2xXhMAM7sBuMG/22tm2zKoORvTgMObcvyiOTINOFzoIoahurJTrHVB8dZ2Qtb1ByMsfxOwW8Z8+ki1nZTp9jMJhOGibej37JHWGWn5cF8Jhm3lOed+BPxotAInwsw2ZNqcmmzFWpvqyk6x1gXFW5vqyl4uasukrdYBzBl0vw3YO9I6ZhYC6oGjozw3k9cUEZFJlEkgPAcsMrP5ZlYOrAbWDllnLXC9f/sa4DHnjVavBVabWdjM5gOLgPUZvqaIiEyiMbuM/DGBm4CH8A4R/Wfn3GYz+yawwTm3FrgT+Bd/0Pgo3g4ef7178QaLE8DnnHNJgOFeM/dvLyN5647KgWKtTXVlp1jrguKtTXVlb8K1ldSJaSIikj9T63xwEREZNwWCiIgAJ3ggmNmVZrbNzNrN7OZJ3vY/m9lBM9s0aFmTmf3GzF73/230l5uZfc+v8xUzOyePdc0xs8fNbKuZbTazLxZRbRVmtt7MXvZr+0t/+XwzW+fXdo9/oAL+wQz3+LWtM7N5eawtaGYvmtn9xVKTv72dZrbRzF4ysw3+smL4XTaY2X1m9qr/t7aySOo6xf+s0j/dZvalIqntj/2/+01mdpf//yG3f2fOuRPyB28w+w1gAVAOvAwsmcTtXwScA2watOx/ATf7t28GvuXffj/wH3jndZwPrMtjXbOAc/zbtXhTjCwpktoMqPFvlwHr/G3eC6z2l/8Q+Kx/+0bgh/7t1cA9eazty8Aa4H7/fsFr8rexE5g2ZFkx/C5/Anzav10ONBRDXUNqDAL78U7sKmhteCf07gAqB/19fTLXf2d5/1CL9QdYCTw06P4twC2TXMM83h4I24BZ/u1ZwDb/9j/izfX0jvUmocZf4s05VVS1AVXAC3hnuB8GQkN/r3hHsa30b4f89SwPtbQBjwKXAff7O4eC1jSotp28MxAK+rsE6vydmxVTXcPU+T7gqWKojbdmg2jy/27uB67I9d/ZidxlNNyUHK0jrDtZZjjn9gH4/073lxekVr+ZeTbeN/GiqM3vmnkJOAj8Bq+V1+WcS8/ENnj7b5tSBUhPqZJr3wG+CqT8+81FUFOaAx42s+fNmwYGCv+7XAAcAn7sd7PdYWbVRVDXUKvxJuek0LU55/YA3wZ2Afvw/m6eJ8d/ZydyIGQyJUexmPRazawG+DnwJedc92irDrMsb7U555LOuWV438pXAKeNsv2812ZmHwQOOueeH7y4kDUNcYFz7hzgKuBzZnbRKOtOVm0hvO7SHzjnzgb68LphCl3XWxv0+uKvBv5trFWHWZbz2vwxi1XAfLyZo6vxfqcjbXtcdZ3IgVCM02ccMLNZAP6/B/3lk1qrmZXhhcHPnHO/KKba0pxzXcATeP22DeZNmTJ0+yNNqZJLFwBXm9lO4G68bqPvFLim45xze/1/DwL/By9EC/277AA6nHPr/Pv34QVEoesa7CrgBedcevrjQtf2HmCHc+6Qcy4O/AL4PXL8d3YiB0IxTp8xeAqQ6/H679PL/4t/RMP5wLF08zXXzMzwzjzf6pz7+yKrrcXMGvzblXj/SbYCj+NNmTJcbcNNqZIzzrlbnHNtzrl5eH9Djznn/qCQNaWZWbWZ1aZv4/WJb6LAv0vn3H5gt5md4i+6HG82g4L/jQ1yLW91F6VrKGRtu4DzzazK/z+a/sxy+3eW74GZYv7BO0LgNbx+6D+b5G3fhdcXGMdL80/h9fE9Crzu/9vkr2vA9/06NwLL81jXhXhNy1eAl/yf9xdJbWcCL/q1bQK+5i9fgDdHVjteEz/sL6/w77f7jy/I8+/0Et46yqjgNfk1vOz/bE7/jRfJ73IZsMH/Xf470FgMdfnbq8K78mP9oGUFrw34S+BV/2//X4Bwrv/ONHWFiIgAJ3aXkYiIDKJAEBERQIEgIiI+BYKIiAAKBBER8SkQREQEUCCIiIjv/wJMlC//+95CowAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JGfz5nJgzpY1dPrhrZnac5g7+YXb1QPHsXY/4zczKtTS6gNEo/9pFgG+ufgGAQgHWb+0ZevwHl5xV/wLNzMahJh/xJ2fmtlYY8Z8xcxIv9hzx2btmZmWaO/jTEX97y/G/xoJZkxkoBDv3H6l3WWZm41pzB//gIFB5H/+CWZMB2PrS4brWZGY23jV38A+ku3oqjPjnTGujvSXH1r3NGfzfWP1r7lu/o9FlmNkE1NQHd0/0qZ6cxJmzJjdl8A8Wgs/d+yuWdkzlqled0ehyzGyCafIRf+XP8RctmDWZHfua7wDvr3b0sP/IABu299A7MNjocsxsgmn64M/nRD6nivOLB3hf7GmuA7xrNu8BoH8weHrHgQZXY2YTTXMHf4Vr8ZcqHuDd1mS7ex5+fg9T2/IArN26t8HVmNlE09TB31/h27dKNeMB3ohgzeY9/Kfzz2D2lFbWbtnX6JLMbIJpuuB/aNMurv3iv3O4b3DEEX8zHuB9btdBdh3o4+Klc3j1wlms3ergN7PaarrgnzG5lbVd+3hsy0sVv2+3XPEAb7McJH043b+/s6eXnGDjjh6+9tDzQ5eeMDMbraYL/lctmMkFi2ax6rk99A4UKl6uodTL5k1loBBc/Te/4L71O4gY35/wWbN5D1PbW+iY1sbCWZMpBGzf11wHp81sfGu64Ad496WL2XWgl66XDlW8XEOpZWfM4N2XLiaXE++/6xE++p21FMbxxztXb97DkrlTkMSC2VMA2PrSoQZXZWajsf9IP/c/9eK4yZ6qgl/SVZI2Stok6S8rzG+X9O10/mpJS2pdaKnfec18JrfmGSgc/7WLlbxi/gzu+/Bv8qErz+F7j3Zx64r1RAT7DvfzwMad7D/SP5blVuVI/yB3r3mBrXsPs7RjKgAzJrUwrb1l6BjFzv3Ns8vKLKsGC8HjW/ZyuC/5Xz3QO8B7bl/Df72zcyh7Gm3EM3cl5YG/A94MdAEPS1oREU+VNLsJeCkizpF0PfDXwH8Zi4IBJrXmWb5kNr94ZtcJD+6W+ufOLk6fMYnfOreDu1a9wM83drM9Pblr3vR2Pnb1ebz89Onc89hW1m3dxxXL5nHdBQvYse8I963fzu4DfVz5itO4/JwO1m3dx0837KQQwSVL5/Ly06fxbPdBnn5xP2fMmMQlZ89hztQ21nXt45mdB1g8dwoXLJrFgd4BHtq0m+d3H+TCs2Zz8ZI5PLNzP/et38E9j21l98E+zjtjOq9eMBMASSycPZnNuw7yzTUv8PF71rFg1mQ+/KZzufycDh58upvHt+zl1QtncuV5pzG5Nc9T23vo3t/LOadN45zTpnG4b5Dndx+if7DAWXOmcNr0dnoOD7Cj5wgteTF/5iQmt+bZ3zvAngN9TGnPM2dKGzmJfYf76TnSz4xJrcyc3IoEB/sG6RsoMK29hbaWHBFB70CBQgSTW/NIolAIDvcPks+J9pYckhgYLHCwb5D2ltwx03oHCkxqzQ+dizFYCAYKyUF7SUT6vcoArXkhJe0KhUBi6HFEMFgI8rmjbYrtikomH9Om+I9YOm2wEOR07LRqRAQRkMvpuGnldZzKsgsB4vjlly+v0rRCISrWVTqtUAgChv4exf7PCVrS/7VKfR0RDBSClpJpA4MFBgox9PcubivA0LRK20r/YIFDvYO0t+aG3tEf6hvkUN8g09pbmNSaIwL2Hxmgd3CQGZNamdSap3dgkL2H+omAWVNaaW/JcaB3gO79vbS35umY1kZLLseuA73s7Oll5uRWTp/ZTgT8evchuvf3cuasSSycPYW9h/t4alsP+w73s+yM6SyZO5WnX9zPqud2A3DJ0rksnD2Zlet3sHLtdubPnMTbX7eQnMRnf/QUT27r4cyZk/joW5bxrTVbWNu1jze/8nTuWvUCrfkct771lSf9968ljfTqI+n1wKci4i3p448BRMRflbT5cdrml5JagB3AvDjBwpcvXx6dnZ2nXPgXf7aJz/9kI5eePZe3vfbMqp8XEaxct53123o4/8wZLJk7lQef6aYrvZhbXqJjehsv9hz9Epe8RHtrjkN9R0fbrXkhNHTZiJMhcUwQtOVz/Payedx42RIue9lc7l6zZWjeTze8yE9/tZO2fI4bLlvMms17eKLr6Cd9prW3cKB3oKr1AOQE5e82W3JioCwgc9IxZzzncxoKnqG6W3IMDBaGpknJ71L85y6uryWfGzrLuri+nI7tu+KLSDHkpSQc+gdjqI6ciuuMoXrb8jlyueRkvmIdbS05RPKdzMO9s27Ni5ZcjoFC4ZgXlnxOx6yzLZ+jJS8K6e9eDMtCSV+05JS0KRy9jEg+J1rLplVSfHEp/ZmTStaRrKdQ9uLRkhOt+WPrL/ZFsX+k5JLlOR3tn1w6LdL+iTha62DhaP8Xf6fSfq00rdjXpX/z9pYchZK/ZXFa/ylsK/mcEByzfbbmk+21/H+ovJ9b8zqmhuLyRjqTv9L/zYm8bN5Udu7vZf+R5P/wzJmT+OPLl3LPY1t5clsPOcHfXn8hb33NfD7zww3c/h+b+dAbz+XP3vzy6ldyTH16JCKWn9KTi8uoIvjfAVwVEe9LH78buCQibilpsz5t05U+fjZts6tsWTcDN6cPlwEbR1F7B7BrxFaN4/pO3XiuDVzfaI3n+sZzbZDUNzUi5o1mIdVcpK3S+5HyV4tq2hARtwG3VbHOkYuSOkf7qjeWXN+pG8+1gesbrfFc33iuDYbqWzLa5VSzg7wLWFTyeCGwbbg26a6emcCe0RZnZma1V03wPwycK2mppDbgemBFWZsVwA3p/XcAPzvR/n0zM2ucEXf1RMSApFuAHwN54PaIeFLSp4HOiFgB/CPwdUmbSEb6149l0ama7DIaQ67v1I3n2sD1jdZ4rm881wa12lXugbmZWbY05Zm7ZmZ26hz8ZmYZMy6DfzSXiJD0sXT6RklvaUBtfybpKUlrJf1U0uKSeYOSHk9v5QfI61XfjZK6S+p4X8m8GyQ9k95uKH9uner7vyW1PS1pb8m8Me0/SbdL2pmel1JpviR9Ia19raSLSubVo+9Gqu8P07rWSnpI0mtL5j0vaV3ad6d+5uTo6rtC0r6Sv+GtJfNOuF3UobY/L6lrfbqtzUnn1aPvFkl6QNIGSU9K+nCFNrXb/pIzEcfPjeQA8rPA2UAb8ATwyrI2/x34Snr/euDb6f1Xpu3bgaXpcvJ1ru0NwJT0/p8Ua0sfHxgHfXcj8MUKz50DPJf+nJ3en13v+sraf5DkwwT16r/fAi4C1g8z/xrgXpLzVi4FVter76qs77LieoGri/Wlj58HOhrcf1cAPxztdjEWtZW1fRvJJxPr2XfzgYvS+9OBpyv879Zs+xuPI/6LgU0R8VxE9AHfAq4ra3Md8LX0/neBN0pSOv1bEdEbEZuBTeny6lZbRDwQEcXLaa4iOe+hXqrpu+G8Bbg/IvZExEvA/cBVDa7vXcDdNa5hWBHxICc+/+Q64M5IrAJmSZpPffpuxPoi4qF0/VD/ba+a/hvOaLbbsaitrtsdQERsj4hH0/v7gQ3AgrJmNdv+xmPwLwC2lDzu4vgOGGoTEQPAPmBulc8d69pK3UTyCl00SVKnpFWSfreGdZ1sfW9P3yp+V1Lx5Lyx7ruTWke6i2wp8LOSyWPdfyMZrv569N3JKt/2AviJpEeUXDqlUV4v6QlJ90o6P502bvpP0hSS0PxeyeS69p2SXdcXAqvLZtVs+6vmkg31NppLRFR16YhRqHr5kv4IWA78dsnksyJim6SzgZ9JWhcRz9a5vh8Ad0dEr6T3k7xzurLK59ajvqLrge9GROl1qMe6/0bSqO3upEh6A0nwX14y+TfSvjsNuF/Sr9JRcD09CiyOiAOSrgH+BTiX8dV/bwP+IyJK3x3Ure8kTSN50fnTiOgpn13hKae0/Y3HEf9oLhFRzXPHujYkvQn4BHBtRAxd5jMitqU/nwN+TvKqXksj1hcRu0tq+gfgddU+tx71lbiesrfbdei/kQxXfz36riqSXgN8FbguInYXp5f03U7gHmq7C7QqEdETEQfS+yuBVkkdjKP+48Tb3Zj2naRWktD/RkR8v0KT2m1/Y3nA4hQPcrSQHJxYytEDPeeXtfkAxx7c/ef0/vkce3D3OWp7cLea2i4kOVB1btn02UB7er8DeIbaH8Cqpr75Jfd/D1gVRw8QbU7rnJ3en1Pv+tJ2y0gOqKme/ZcuewnDH5z8HY49uLamXn1XZX1nkRzXuqxs+lRgesn9h0iuplvv+s4o/k1JwvOFtC+r2i7GsrZ0fnEAObXefZf2w53A35ygTc22v5r/4WvUCdeQHNV+FvhEOu3TJCNogEnAd9KNfA1wdslzP5E+byNwdQNq+1fgReDx9LYinX4ZsC7dqNcBNzWo7/4KeDKt4wHgvJLn/nHap5uA9zaivvTxp4DPlT1vzPuPZKS3HegnGUXdBLwfeH86XyRfSvRsWsPyOvfdSPV9FXipZNvrTKefnfbbE+nf/hMNqu+Wkm1vFSUvUJW2i3rWlra5keTDIaXPq1ffXU6ye2Ztyd/vmrHa/nzJBjOzjBmP+/jNzGwMOfjNzDLGwW9mljEOfjOzjHHwm5nVwUgXiitre1Z60bbH0rPsr6llLQ5+M7P6uIPqr+H0P0nOT7qQ5FylL9WyEAe/mVkdRIULxUl6maT70usA/ULSecXmwIz0/kxqfCbzeLxWj5lZVtxGcoLWM5IuIRnZX0lyEuNPJH2Q5IzhN9VypQ5+M7MGSC/IdhnwneSq8kByuRlILg19R0R8XtLrga9LelVEFGqxbge/mVlj5IC9EXFBhXk3kR4PiIhfSppEco2qnbVasZmZ1Vkkl13eLOmdMPTVisWvy3wBeGM6/RUk1yfrrtW6fa0eM7M6kHQ3yddPdpBcyPGTJF809GWSr15sJblI3KclvZLksunTSA70/kVE/KRmtTj4zcyyxbt6zMwyxsFvZpYxDn4zs4xx8JuZZYyD38wsYxz8ZmYZ4+A3M8uY/w+doZ5SQm48pQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for (name, array) in feature_groups.items():\n",
    "    plt.title(name)\n",
    "    sns.distplot(array)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "sums = np.array([np.sum(features) for features in concatenated])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(sums)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fb987dd6940>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(np.log(sums))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'mean': NormaltestResult(statistic=381737.1167835812, pvalue=0.0),\n",
       " 'variance': NormaltestResult(statistic=2363522.632153112, pvalue=0.0),\n",
       " 'skewness': NormaltestResult(statistic=423923.7798367973, pvalue=0.0),\n",
       " 'kurtosis': NormaltestResult(statistic=3001618.6157204844, pvalue=0.0),\n",
       " 'stdev': NormaltestResult(statistic=968596.3655442013, pvalue=0.0),\n",
       " 'zerocross': NormaltestResult(statistic=525295.699419779, pvalue=0.0),\n",
       " 'peak2peak': NormaltestResult(statistic=820001.0665394594, pvalue=0.0),\n",
       " 'totalarea': NormaltestResult(statistic=1067493.2623619493, pvalue=0.0),\n",
       " 'sigenergy': NormaltestResult(statistic=2362754.0588320135, pvalue=0.0),\n",
       " 'energypct': NormaltestResult(statistic=1884453.8305497074, pvalue=0.0),\n",
       " 'avgdwtcoef': NormaltestResult(statistic=3543177.6743450062, pvalue=0.0),\n",
       " 'crosscorr': NormaltestResult(statistic=24564327.643044017, pvalue=0.0),\n",
       " 'decorrcoef': NormaltestResult(statistic=1570713.6727521317, pvalue=0.0),\n",
       " 'clustcoef': NormaltestResult(statistic=112144.68340736881, pvalue=0.0),\n",
       " 'localeff': NormaltestResult(statistic=1562088.8968855706, pvalue=0.0),\n",
       " 'between': NormaltestResult(statistic=400812.5302000939, pvalue=0.0),\n",
       " 'eccentricity': NormaltestResult(statistic=1709089.415608245, pvalue=0.0),\n",
       " 'globaleff': NormaltestResult(statistic=79525.15895705746, pvalue=0.0),\n",
       " 'globaldiam': NormaltestResult(statistic=93861.0938710389, pvalue=0.0),\n",
       " 'globalrad': NormaltestResult(statistic=93109.88531130968, pvalue=0.0),\n",
       " 'globalcharpath': NormaltestResult(statistic=90310.60788671639, pvalue=0.0)}"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hownormal = {k: scipy.stats.normaltest(v) for (k, v) in feature_groups.items()}\n",
    "hownormal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-15.544871794871796, 15.993589743589746)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "means = feature_groups['mean']\n",
    "normalized_means = (means - means.mean()) / means.std()\n",
    "trimmed_means = means[np.logical_and(normalized_means > -3, normalized_means < 3)]\n",
    "trimmed_means.min(), trimmed_means.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "def clip_outliers(xs):\n",
    "    normalized = (xs - xs.mean()) / xs.std()\n",
    "    trimmed = xs[np.logical_and(normalized > -3, normalized < 3)]\n",
    "    return trimmed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(clip_outliers(feature_groups['mean']), fit=scipy.stats.norm)\n",
    "plt.savefig('means.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IUKAKOAKMjWbRbZHb58cYSHa2rFsGoKRSpyBQSh1fWEljjHkPeK/OYw/Vuv3LCNeVcKqn+21ptwzoWHelVOP0CtUYqV5iryUnVNNcwddquCulGqPhHiPlobncWzIU0m61kOKw6oVMSqlGabjHSPVCHS1puYNeyKSUCo+Ge4xU97m3ZLQMBEfM6Fh3pVRjNNxjRFvuSqlY0nCPkeol9lrS5w7BcK/w+nHrhUxKqePQcI+R8giMloGjFzLpikxKqePRcI+RCk/LR8vA0bHu+UWVLa5JKZW4NNxjpLrl7rK1LNw7pDgA2HmoosU1KaUSl4Z7jFR6gwt1WCz1TbIZvvQkOzaLsKOwLEKVKaUSkYZ7jLR0oY5qFhE6pDrYUVgegaqUUolKwz1GKjwtW6ijtg4pTg13pdRxabjHSKRa7gBZqU52H67A5w9EZH9KqcSj4R4jFd7mL45dV1aqgyq/Ib9Ih0Mqpeqn4R4jwSX2ItQtk+oEYLueVFVKNUDDPUYqPH5SItYtExoOqf3uSqkGaLjHSLnXR3KETqimOm2kOm16UlUp1SAN9xip8Eau5S4i9M5KYbuGu1KqARruMVLuidwJVYBeWSnsPKThrpSqn4Z7DPgDBo8vQFIEw713Vgp7j1Ti8enskEqp79Jwj4Gy0KRhaS57xPbZOyuZgIE9h3WOGaXUd2m4x0BNuDsj0+cO0DsrFYDtBdo1o5T6Lg33GCgNLYuX6opguHdIAdARM0qpemm4x0CZO9hyT41gyz0j2U77FIe23JVS9dJwj4HSmj73yIU7QN+cVDYfKI3oPpVSiUHDPQaqW+6RDvdTOqXx3wOlBAImovtVSrV9Gu4xUFrTLRO50TIA/TulU+H1s1eX3FNK1aHhHgNlnsifUAXo3ykNgG/3a9eMUupYGu4xUOb2IQLJ9shdxARHw33z/pKI7lcp1fZpuMdAqcdHqtPW4vVT60p12uiWmcTmAzr1r1LqWGGFu4gMF5HNIrJVRB6o5/lfichGEVkvIh+JSM/Il9p2lbp9Eb2Aqbb+HdO05a6U+o5GE0dErMBzwDAgD1gtIsuMMRtrbfYVMNgYUyEidwB/BG6MRsFtyaJVuwHYtK8EX8DU3I+k/p3SWPnfAry+AA6b/iGmlAoKpzl5DrDVGLMdQEQWA9cCNeFujFlRa/vPgZsiWWRb56kK4Ipwf3v1B8WhMi++gOGZj7fQOSOJUef2iOhxlFJtUzhNva7Anlr380KPNeQW4P2WFJVo3D4/Lnt0WtUdM1wAHCjxRGX/Sqm2KZyWe31nAeu9akZEbgIGA5c08PwEYAJAjx4nTgvTXRUgM9kRlX1npTqwinCgRBfLVkodFU5zMg/oXut+NyC/7kYiMhR4ELjGGFNvM9IYM9cYM9gYMzg7O7s59bZJHp8fZ5T6w20WC1lpDvYXa7grpY4KJ3FWA31FpLeIOIBcYFntDUTkTODPBIP9YOTLbNui0edeW8d0l7bclVLHaDTcjTE+4C5gObAJWGKM2SAivxWRa0KbzQBSgTdEZK2ILGtgdyecgDF4/YGotdwBumQkUVRZRXlogjKllApr8LUx5j3gvTqPPVTr9tAI15UwPFUBgKi23LtmJgHoHDNKqRo6MDrK3KE1TqPZcu/aLgkB8o5ouCulgjTco6y65e6MYsvdZbeSlepk7xFdT1UpFaThHmWeUMvdFeWrR7tmJpGn3TJKqRAN9yhzV4XCPYotd4BumUmUun06JFIpBWi4R53bF+qWiXLLvVu74EnV9XlFUT2OUqpt0HCPslj0uQN0ykjCIrA+rziqx1FKtQ0a7lEWqz53h81Cx3QX67TlrpRCwz3q3FV+BLDHYDreru2S+HpvMcbogtlKneg03KPM7QvgtFuwSGRXYapP18wkiiqq2HNYR80odaLTcI8yT1UApy26/e3VumcmA7B65+GYHE8p1XppuEeZuyp6M0LW1SnDRYcUB59tKYjJ8ZRSrVd0FvZUNTw+f1THuJtAgMJ9e8jf8V/279pK2t58PvzHIa5eKNhsNpKTk0lOTqZr167069ePfv36ceqpp5KUlBS1mpRS8afhHmUeX4BkR2TD3VflZfs3/8fG1Z+yZe0q3BVlADhcSWS0z6bKb6V9px6kOqxUVFRQVFTEunXreP311wFwOp2cd955XHbZZQwdOpQOHTpEtD6lVPxpuEdZJFdhKj50kC8+/F++WvkBnspyXCmp9P/++fQ85Qy6nNSfrE7dGHZqJ8557CPOG34Kd1zap+a1xhgOHDjAt99+y7///W9WrFjBypUr+d3vfsfll1/OqFGjGDRoEBKDE79KqejTcI8yTwT63Av37eHTt19l4xefAjBg8MWccdEweg8chNVmP2bbnHQXp3RK49P/FhwT7iJCp06d6NSpE5deeilTpkxhy5YtvPnmmyxdupR33nmHM844g1/96lecc845LapXKRV/Gu5R5m5Bn3tFaTGfvr2QL1e8g83u4Nxh13H2sOtol9XxuK8b0i+b+f/aQYXXR7Kj/n9iEaFfv35MnTqVX/7ylyxbtoy5c+cyduxYLrzwQiZPnsyAAQOaVbdSKv50tEwU+QOGKr9pcsvdBAJ8ueJdnr1vPGs++htnDhnOnY/PZ9jI2xoNdoAhfbOp8hs+334orOOlpKQwcuRI3n//fe677z42bNjAiBEjePzxxykvL29S7Uqp1kHDPYq8vqavwnTk4D5enfEA7/3laTr36sttj87hyrGTSM3IDHsfg3tl4rJb+GRz04ZEulwuxo8fz/Lly/nZz37Gyy+/zNVXX81nn33WpP0opeJPu2WiqHq633Ba7sYYvlr5Pn9fNAeL1cpV4+9h0JDhTT7BuWjVbgD6ZKfy1v/tpW9OGlaLMOrcHmHvIz09nd/85jdcffXVTJ8+nQkTJjBmzBgmT56M0+lsUj1KqfjQlnsU1Syx10jL3VNZztI5f+Ddl2fRre9Abnv0z5x5yRUtGrkyqHs7yjw+thWUNXsfZ511Fn/9618ZM2YMCxYs4IYbbmDLli3N3p9SKnY03KOoZnHs47Tc9+/axgvT72Tj6k+5bMR4Rk9+jIwOOS0+dv+OaSTZrazd07JZIp1OJ1OnTmXOnDkUFhZy44038t577zX+QqVUXGm4R1HNdL8NtNw3fLGS+b/7H3xVVdz8wAwuuioXsUTmn8RmtfC9rhlsyC+uqaMlLrnkEpYuXcqAAQOYPHkyM2bMwOfzRaBSpVQ0aLhHkbuq/lWYTCDAir++zFvPP0anHn24dfoz9Oh3WsSPf2aPdlT5DRvzSyKyv5ycHObPn09ubi7z5s3jtttuo7S0NCL7VkpFloZ7FFV4gy3bpFrTD1R5Pbz5/O/4599eY9CQ4Yy5/3FS27WPyvF7tE8mM9nOVy3smqnN4XAwffp0HnnkEb744gtGjx7Nvn37IrZ/pVRkaLhHUZnHhwApzuCgpMqyEhb+aQrfrvknw3IncNX4e7DZIzM1QX1EhDN7ZLLtYBl7DldEdN8jRoxg7ty57Nu3j9zcXDZt2hTR/SulWkbDPYrKPH6SHVYsIhQVHuDlxyaTv/2/XD9xKucN/2lM5nE5u1d7RODVz3dFfN/nn38+CxcuxGKxcNNNN+l4eKVaEQ33KCrz+Eh12di/axvzH72H0iOHGP3rxzj1nEtiVkNGkp2BXTJYvHoPld6Wn1itq1+/fixevJgePXpwxx13sHTp0ogfQynVdBruUVTmrsJ+eAd/+f2vsVgsjJs2k56nnB7zOs4/qQPFlVUsW7c3Kvvv2LEjr776Kueeey5Tp07llVdeicpxlFLh03CPouKd33B4+bOkZXZg/LSnyOnaKy519OqQzCmd0nj537uitnh2SkoKs2fPZujQofz+97/n+eef14W6lYojDfco+fjjj/F+OhdXZkfGTvkT6e2z41aLiDD2gl5s2lfCqh3RW1/V4XDw5JNPcu211/LMM88wY8YMDXil4kTDPQreffddJk2ahEnvwqDRU0lJbxfvkrhuUFey05w89Y//RvU4NpuNxx57jFGjRjF//nymT5+O3x/5vn6l1PGFFe4iMlxENovIVhF5oJ7nh4jI/4mIT0RGRL7MtuOtt97i3nvvZeD3zsBzwW1kZsY/2CE41n7ipX34fPth/r2tMKrHslgsTJs2jdtuu4033niDe++9l6qqqqgeUyl1rEbDXUSswHPAFcBAYKSIDKyz2W5gHLAo0gW2JQsXLuTBBx/kggsu4H8e/hPYXTVj3ONt0ardWERId9mY8tevWfj5rpoZJKNBRLjnnnuYPHky77//PpMmTcLj8UTteEqpY4XTcj8H2GqM2W6M8QKLgWtrb2CM2WmMWQ8EolBjm/Diiy/y6KOP8sMf/pDnn3+e0qrgGPbUVhLuAHarhUv757DrcAVbDjZ/tsimuPXWW3nooYf45JNPuOOOO6ioiOzFVEqp+oUT7l2BPbXu54UeazIRmSAia0RkTUFB0xaSaK2MMTzzzDM88cQTXHnllTz55JM4HA4Ky7xA6wp3CC7kkZls572v91Hlj81n8ciRI3nsscdYtWoVEyZMoKwsNh8sSp3Iwgn3+i6jbNYQCGPMXGPMYGPM4Ozs+I0eiRRjDDNmzOD555/n+uuv549//CN2e3DB6sKyYBdEawt3m8XCNWd05WCph4+/PRiz4/7kJz9hxowZrFu3jp///OcUFUVuvhul1HeFE+55QPda97sB+dEpp+0IBAI8/PDDzJ8/n9GjR/PII49gtR6dIOxQmQeX3YLN2voGJPXvlMbgnpl8+t8Cvtp9JGbHvfLKK5k1axbffvst48aN49Ch8NZ4VUo1XTjJsxroKyK9RcQB5ALLoltW6+bz+Zg6dSqvv/46t9xyCw8++CCWOvOwF5Z5W12rvbYrv9eZ9CQ7v35jXc1ygLHwgx/8gNmzZ7Nr1y5uvvlmDh6M3V8PSp1IGg13Y4wPuAtYDmwClhhjNojIb0XkGgAROVtE8oCfAX8WkQ3RLDqevF4v9957L2+//TZ33303kydPrncCsIIyT6sOd5fdyvXf78q2gnJmfhjdse91XXjhhcydO5f9+/czZswY9u6NzrQISp3IwuozMMa8Z4zpZ4zpY4z5Xeixh4wxy0K3VxtjuhljUowxHYwxp0az6HjxeDxMmjSJDz74gPvvv5+JEyc2OLNjYSsPd4C+OWmMOrcHL3y2nS93Re/K1fqcffbZzJs3j6KiIsaMGcPOnTtjenylEl3r6xBupSoqKrj99ttZuXIl06dPZ9y4ccfd/lCZt9WMcT+eqVcOoEtGEr9+Y31UZo08njPOOIOXX34Zt9vNmDFjdPFtpSJIwz0MpaWl/OIXv+CLL77g97//Pbm5ucfd3usLUFxZRaqr9Yf7srX5DD+tEzsKyxn5wudRv7iprgEDBvDKK68gItx8881s3LgxZsdWKpFpuDfiyJEjjB8/nvXr1/PEE09w3XXXNfqaQ+WtcxhkQ/pkpzJ0QEfW7inisy3RnZqgPieffDILFiwgKSmJcePGsXbt2pjXoFSi0XA/jgMHDjB27Fi2bNnC008/zfDhw8N63aHQBUxpbSTcAS7rn833umawfMN+Nu2LzILaTdGzZ08WLFhAZmYmt9xyC1988UXMa1AqkWi4N2D79u2MHDmSvXv3MmfOHC677LKwX1sQuoCpLfS5VxMRfvr9bnRpl8SiL3bz4cYDMa+ha9euLFiwgM6dOzNhwgQ+/PDDmNegVKLQcK/HunXrGD16NF6vl1deeYXzzz+/Sa8vLG1b3TLVHDYL4y/sRecMF7e/+iVvr439EMWcnBwWLFhA//79ueeee1i8eHHMa1AqEWi41/Hpp58yfvx40tPTWbRoEaee2vRRnTXzyrSBE6p1JTts3HJhbwb3zOSe19fy3IqtMV9wIzMzk/nz53PxxRfz8MMPM2vWLF30Q6km0nCv5a233mLixIn07t2bhQsX0qNHj2bt51CZhyS7FafN2vjGrZDTbuUvPz+Hq0/vwozlm7nn9bUxHyaZnJzMs88+y/XXX8+cOXOYNm0aPp8vpjUo1Za1vaZlFAQCAWbOnMlLL73EBRdcwNNPP01KSkqz91dY5qFDqiOCFcbeW/+3l3N7t8dd5efttfl8tqWQZ0eztk+sAAAOp0lEQVSdyQV9smJWg81m49FHH6Vjx47Mnj2b/fv3M3PmTDIyMmJWg1Jt1Qnfci8vL2fSpEm89NJLjBw5kj//+c8tCnaA/CI3HdNdEaowfkSES/vncMtFvQEY9cIqfvX6WnYfit2c7CLCpEmTePTRR1m9ejW5ubl6NatSYTihw33fvn3cdNNNrFixgmnTpvHQQw9hs7Xsj5lAwLBpXwkDOqdFqMr465OdyqQf9OWOS/vw7tf7+METn/Dg0q8pdcdu6byf/vSnvPTSSxQXF5Obm8t//vOfmB1bqbbohA33NWvWcMMNN7Bnzx7mzJnD6NGjI7LfPUcqKPX4OLVLYnUdOGwWumcm8z9D+zG4VyavfbGbS2d8wp+Wb45ZDWeffTZLliwhOzubX/ziFyxatEhPtCrVgBMu3I0xzJs3j3HjxpGSksJrr73GxRdfHLH9b8gPXgB0apf0iO2zNUlPsnPNGV255aKTqPIHmLNyGwtX7YpZyHbr1q3m3+yRRx7h/vvvp7y8PCbHVqotOaHCvaSkhLvvvpsZM2YwdOhQ3nzzTfr27RvRY2zIL8ZmEfp1TJxumfr0zkrhrh/0pXdWCg8u/YZJi9fGrJsmNTWVZ599lrvvvpt33nmHG264QScdU6qOEybcN2zYwIgRI1i5ciUPPPAATz75JKmpqRE/zjd7Szg5JxWXvW0Og2yKVKeNsRf04t7L+/Pu+nyGzlzJ/H/tiMniH1arlYkTJzJv3jxKSkq44YYbWLp0adSPq1RbkfDh7vP5mDNnDrm5uTVXnI4dO7bBedhbakN+ScL1tx+PRYTMZAe/uPgkkuw2Hv7bRs569B+MeXEVm/eXRv345513Hm+99Rann346U6dO5b777qO4uDjqx1WqtUvocN+xYwejR49m1qxZDBs2jKVLl3LmmWdG7XgHS9wUlnk4rWti9rcfT88OKUwYchK3XtybHu2T+de2Qi5/6lOufuafvPyvHRwp90bt2NnZ2cybN4+77rqL999/n6uvvpoVK1ZE7XhKtQUJGe6BQIAFCxZw/fXXs2vXLp544glmzpxJZmZmVI979GTqidNyr+ukrFTGnNeTB64YwENXDSRgDL/520YuevxjnvloCxXe6FxlarVaufPOO1m8eDGZmZlMnDiRKVOmUFIS+xkulWoNJF5DyQYPHmzWrFkT8f1u2rSJhx9+mHXr1jFkyBAeeeQRcnJyIn6c2qoXt/j424P8Y9MBHrpq4AnR5x6u/KJKPv72IBv3lZDmtDH+ot7ceHZ3urZLisrxvF4vzz//PC+++CJZWVlMmTKFH/3oR1HrilMqlkTkS2PM4Ea3S5RwLykp4dlnn2XhwoW0a9eO++67j2uuuSYm/6Grw33hql3sL3Yz+Uf9o37MtmjXoXI+/vYgWwvKADj/pA5cdXoXfnRqR7JSnRE/3jfffMO0adPYvHkzF1xwAdOmTaN3794RP45SsXTChHtVVRWvv/46zz33HMXFxdx4443cc889MZ1/pDrcZyz/lm6ZyYw8p3kTjp0ojpR7+XL3EdbnFdXMoJmV6uCy/jkM7pXJWT3b0zsrBaul5R/MPp+PxYsX8/TTT+N2u8nNzeX222+nffv2Ld63UvGQ8OHu9/tZvnw5zzzzDDt37uTcc8/l3nvvbdYUvS21aNVu9hyuYPbKbQw/tRND+mXHvIa2yBjDvmI3Ww6WsetQOQdK3BypCI6Vt1mEThkuBnZO56bzenJx36wW/RVWWFjIrFmzeOutt0hKSuLWW29lzJgxLZ5HSKlYS9hw9/v9fPDBB8yePZtt27bRp08ffv3rX3PJJZfErU/1pc928OyKLRjg7sv6kuTQ/vbmMMZQUOZh96EKDpV7KarwsreoksIyLydlpXB+nw6c0a0d5/RuT6+s5oXy1q1beeqpp/joo49o164dY8eOZfTo0aSlJfZFZypxJGy4P/3008yePZuTTz6ZiRMncvnll2OxxG/QjzGGq575J5v2lTBhSB96tE+OWy2JyOcP8PXeYr7aXcSeIxV4fAEAerRPZnDPTLLSnGSlOhjQOZ3Tu7UjI8ke1n7XrVvHnDlz+OSTT0hLS2PEiBGMHDmS7t27R/PHUarFEjbc8/Pz+frrrxk2bFhcQ73acyu2MmP5Zq44rRMX99XumGgKGENhmYdtBeVsOVDKvmI35R4fvsDR3+E+2SkM6p7JqV3S6ZzhIifdRcd0JzlpLhy27/6+bNy4kRdeeIEPP/yQQCDAkCFDGDVqFBdddFGr+P1Sqq6EDffW5MXPtvPou5sY1L0dI87qhkWH2sWcMQZ3VYC8ogr2HK4k70gFew5XUF7PylHd2ydxerd2nNYlg14dkunRIZmeHVJIddo4cOAAS5YsYcmSJRQWFtKtWzd+/OMfc+WVV9KvX784/GRK1U/DPcoWfL6L//e/33Dl9zpx/klZERnZoSLDGEO510+pu4qSSh+l7iqKK6s4UOImr6iSoopjJzjLSnXQo30w6Luk2Tj03zVs+s8/2PLNV5hAgJP69OGqH/+YYcOG0adPHx0vr+JKwz2Klqzew31/Xc/QATnMvuks3liTF++SVBO4q/wcKvdyuNzL4TJPze1D5V5KKquo+R/hKcW6dz3WvWuxHt4BgDUlk3a9v0fnU86kz6ln0rFDJpnJdjJTHLRPcZCZHPzePsWhF7KpqNBwj5L73lzPG2v2cHJO8DJ7m1X7ZROJP2Ao9/ooc/so8wS/yj0+jhQWcHDLVxTv+JrKvE2YKjcgBNI7EWjfk0BmTwLte2FSsiDUsnfZLbRPdtAu2UFGkp30JBvpLjvpSfbQ9+D9dsnBr4wkR+i7Hbv+XqkGhBvuukB2E3y+/RBvfrmHXlkpjD5Xgz0RWS0SDF5XnVE3fbPh/IEA+H0+9m7/lh0bvmLP1o3s3bYe787PAbA5k0jN6Y4rqxv2zC5IoDMeXwf2ulPZVmDw+AJUVvnxhkb9NCTVaSMjyY7TbsFps+K0WXDYLDhtoft2C2lOG6lOG6mu4Pd0l51Ul40Upw27VbBbLdgswe92qwWX3YLLbg19WXBYLdrFlMDCCncRGQ7MAqzAi8aYP9R53gm8ApwFHAJuNMbsjGyp8XWwxM1di76ifYqTMef1rHfkhToxWG02evQ7jR79TgPABAIU7NvN3q2b2L9rGwfzdnBw8xe4K8pqvcZORoccsrM70S6rIxlZnXClZWJNTseSlAbONAL2ZNwBodLro9Lrp8Lrxxcw+AKGco+P4kqDzx/AFzBU+Q1enx+3L9DoB0VjHFZL8K+IJDsOqwWbVbBZjn4wJDmsNR8MSXYrDpsl9IER3M5uFWy1PkhsVsFusWC31XreEno8tJ0BjAGDAQMIx3wY2ers224JHSO07+Dzoh9Ox9FouIuIFXgOGAbkAatFZJkxZmOtzW4BjhhjThaRXOBx4MZoFBwrxhiMAa8/QKnbx12LvqLc42PCkJO0L1UdQywWcrr2Iqdrr5rHjDGUFh2iIG8nRQX7OVK4n6KC/RQVHmDfzi1UltU/W2VSajpJKak4XMk4k5JxJqWQllR9OxmHKxm73YHN7sDmcmC127HY7GCxERAbfrHiFysGC0YsGIQAFgIIAQSfAZ8R/AYMluBzBjx+cPsC+E0Ar9fgNuDH4A8YfP7g/wNfwFDlC373BwwBYwjEeQlbe60PIkOwW81vDIGAwRD8S8xmkVrfLVgtYLNYjnnOesw2wX1aLHxnBJyEPoQc1uBfUg5brdvW6r+urPTskMxpXdPp2SElbl1s4bTczwG2GmO2A4jIYuBaoHa4Xwv8JnT7TeBZERET5Q79VdsPMW7+6uCnP8GWAHD0hFjNffOd56pLO3q/8ePNyh1EuSf6qwyptk9ESM/MIj0zq97nPZUVlBUfoaK0KPi9pIiykiLKS47grijDW1mBp7KC4sIDeCrL8VRW4K4sxwRa1kqPBAtHQ08IhZ/Uvn30MUzwvUCkpoVe/WT9rW7Dd/4rmuPeBaD6XbFQ/zzmAaD2igJ1MyJcx6bGsU8cb1cCOO3WmlF1U6ZMYcSIEU07eBOFE+5dgT217ucB5za0jTHGJyLFQAegsPZGIjIBmBC6WyYim5tTdLxc93jUdp1FnfdK1Uvfp/Do+xSeuL1PP/vZz1ry8p7hbBROuNf/8dr0bTDGzAXmhnHME4qIrAnn7PeJTt+n8Oj7FJ5Ef5/C6QzKA2pPuNENyG9oGxGxARnA4UgUqJRSqunCCffVQF8R6S0iDiAXWFZnm2XA2NDtEcDH0e5vV0op1bBGu2VCfeh3AcsJDoWcZ4zZICK/BdYYY5YBLwELRGQrwRZ7bjSLTkDaVRUefZ/Co+9TeBL6fYrbFapKKaWiR6/EUUqpBKThrpRSCUjDPY5EZLiIbBaRrSLyQLzrac1EZKeIfC0ia0Wk7c04FyUiMk9EDorIN7Ueay8iH4rIltD3zHjW2Bo08D79RkT2hn6n1orIlfGsMdI03OOk1rQOVwADgZEiMjC+VbV6lxljBiXy2ORmeBkYXuexB4CPjDF9gY9C9090L/Pd9wngydDv1CBjzHsxrimqNNzjp2ZaB2OMF6ie1kGpsBljPuW715RcC/wldPsvwHUxLaoVauB9Smga7vFT37QOXeNUS1tggL+LyJehaSxUwzoaY/YBhL7nxLme1uwuEVkf6rZJqO4rDff4CWvKBlXjQmPM9wl2Y90pIkPiXZBq82YDfYBBwD7gifiWE1ka7vETzrQOKsQYkx/6fhBYSrBbS9XvgIh0Bgh9PxjnelolY8wBY4zfGBMAXiDBfqc03OMnnGkdFCAiKSKSVn0b+BHwzfFfdUKrPR3IWODtONbSalV/AIb8hAT7ndJl9uKkoWkd4lxWa9URWBqa/9sGLDLGfBDfkloHEXkNuBTIEpE8YDrwB2CJiNwC7AZaNL9sImjgfbpURAYR7A7dCdwWtwKjQKcfUEqpBKTdMkoplYA03JVSKgFpuCulVALScFdKqQSk4a6UUglIw10ppRKQhrtSSiWg/w8XjjmOBgLC6AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for (name, array) in feature_groups.items():\n",
    "    plt.title(name)\n",
    "    sns.distplot(clip_outliers(array), fit=scipy.stats.norm)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(17268.668853764506, 'globaleff'),\n",
       " (19610.699331264612, 'globalcharpath'),\n",
       " (20218.55470067322, 'globalrad'),\n",
       " (20381.67756679766, 'globaldiam'),\n",
       " (24351.90858930372, 'clustcoef'),\n",
       " (82893.16167838327, 'mean'),\n",
       " (87035.33507179063, 'between'),\n",
       " (92053.87916534503, 'skewness'),\n",
       " (114066.5118127596, 'zerocross'),\n",
       " (178060.9691764342, 'peak2peak'),\n",
       " (210328.02837369582, 'stdev'),\n",
       " (231803.21665634742, 'totalarea'),\n",
       " (339203.2940798705, 'localeff'),\n",
       " (341076.1403631204, 'decorrcoef'),\n",
       " (371124.0511389571, 'eccentricity'),\n",
       " (409203.9500045917, 'energypct'),\n",
       " (513065.5249226273, 'sigenergy'),\n",
       " (513232.4184987729, 'variance'),\n",
       " (651793.2007927418, 'kurtosis'),\n",
       " (769391.2561854166, 'avgdwtcoef'),\n",
       " (5334075.973518765, 'crosscorr')]"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The formula in there is based on the cdf for the chi-squared distribution\n",
    "# These are the negative base-ten logarithms of the p-values on normality\n",
    "sorted([(result.statistic/2 * np.log10(np.exp(1)), name) for (name, result) in hownormal.items()])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Me a few minutes ago: Hopefully my stats are normally distributed.\n",
    "\n",
    "Me now: \"the cross-correlations are not normally distributed (p < 10^-5000000)\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You know what, screw it. I'm just going to pretend that this normalization is sufficient and call it a day."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(643,)"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "concatenated.mean(axis=0)\n",
    "concatenated.std(axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "no_variation = set((concatenated.std(axis=0) == 0).nonzero()[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [],
   "source": [
    "all_energy_percentage = set(np.arange(162, 270))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "set()"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "no_variation - all_energy_percentage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[192,\n",
       " 162,\n",
       " 258,\n",
       " 228,\n",
       " 198,\n",
       " 168,\n",
       " 264,\n",
       " 234,\n",
       " 204,\n",
       " 174,\n",
       " 240,\n",
       " 210,\n",
       " 180,\n",
       " 246,\n",
       " 216,\n",
       " 186,\n",
       " 252,\n",
       " 222]"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "energy_pct_with_variation = list(all_energy_percentage - no_variation)\n",
    "energy_pct_with_variation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.98661857, 0.98282635, 0.9885906 , ..., 0.98926078, 0.98737696,\n",
       "        0.99396104],\n",
       "       [0.99456367, 0.99391786, 0.99714786, ..., 0.99348162, 0.98940124,\n",
       "        0.99670221],\n",
       "       [0.99427292, 0.99427709, 0.991005  , ..., 0.99728547, 0.99321887,\n",
       "        0.99589678],\n",
       "       ...,\n",
       "       [0.98639018, 0.98864689, 0.99199216, ..., 0.98817506, 0.99750313,\n",
       "        0.97620123],\n",
       "       [0.99504751, 0.98552148, 0.98784263, ..., 0.98754402, 0.99335753,\n",
       "        0.99646345],\n",
       "       [0.9960819 , 0.99353689, 0.99405132, ..., 0.98605884, 0.9953313 ,\n",
       "        0.99643041]])"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "concatenated[:, energy_pct_with_variation]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Turns out I did the energies wrong. Look in the next notebook for the fix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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